191997168000 has 512 divisors, whose sum is σ = 718331328000. Its totient is φ = 44936192000.

The previous prime is 191997167993. The next prime is 191997168019. The reversal of 191997168000 is 861799191.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15305731 + ... + 15318269.

It is an arithmetic number, because the mean of its divisors is an integer number (1402990875).

Almost surely, 2^191997168000 is an apocalyptic number.

191997168000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191997168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359165664000).

191997168000 is an abundant number, since it is smaller than the sum of its proper divisors (526334160000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

191997168000 is a wasteful number, since it uses less digits than its factorization.

191997168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12611 (or 12589 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 51.

The spelling of 191997168000 in words is "one hundred ninety-one billion, nine hundred ninety-seven million, one hundred sixty-eight thousand".